Abstract
Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.
| Original language | English (US) |
|---|---|
| Title of host publication | AIAA Guidance, Navigation, and Control Conference 2012 |
| State | Published - Dec 1 2012 |
| Event | AIAA Guidance, Navigation, and Control Conference 2012 - Minneapolis, MN, United States Duration: Aug 13 2012 → Aug 16 2012 |
Other
| Other | AIAA Guidance, Navigation, and Control Conference 2012 |
|---|---|
| Country | United States |
| City | Minneapolis, MN |
| Period | 8/13/12 → 8/16/12 |
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All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Control and Systems Engineering
- Electrical and Electronic Engineering
Cite this
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A new model reference control architecture for uncertain dynamical systems. / De La Torre, Gerardo; Yucelen, Tansel; Johnson, Eric.
AIAA Guidance, Navigation, and Control Conference 2012. 2012.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - A new model reference control architecture for uncertain dynamical systems
AU - De La Torre, Gerardo
AU - Yucelen, Tansel
AU - Johnson, Eric
PY - 2012/12/1
Y1 - 2012/12/1
N2 - Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.
AB - Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.
UR - http://www.scopus.com/inward/record.url?scp=84880616292&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84880616292&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84880616292
SN - 9781600869389
BT - AIAA Guidance, Navigation, and Control Conference 2012
ER -